6+y=15-4(y+1)

Solution for 6+y=15-4(y+1) equation:

Simplifying
6 + y = 15 + -4(y + 1)

Reorder the terms:
6 + y = 15 + -4(1 + y)
6 + y = 15 + (1 * -4 + y * -4)
6 + y = 15 + (-4 + -4y)

Combine like terms: 15 + -4 = 11
6 + y = 11 + -4y

Solving
6 + y = 11 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.
6 + y + 4y = 11 + -4y + 4y

Combine like terms: y + 4y = 5y
6 + 5y = 11 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + 5y = 11 + 0
6 + 5y = 11

Add '-6' to each side of the equation.
6 + -6 + 5y = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 11 + -6
5y = 11 + -6

Combine like terms: 11 + -6 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1